Answer:
and 
Step-by-step explanation:
Given
Bisector: CD
of Line AB
Required
Apply Pythagoras Theorem
From the question, CD bisects AB and it bisects it at D.
The relationship between AB and CD is given by the attachment
Considering ACD
From the attachment, we have that:



By Pythagoras Theorem, we have

Considering CBD
From the attachment, we have that:



By Pythagoras Theorem, we have:

There are 8 sets of 21 cups in 168 cups so 9 times 8 is 72
Answer:
C) x = 1
Step-by-step explanation:
By adding the like terms you get
-12x + 10 = -10x + 8
then you add 12x to both sides and subtract 8 to both sides and get
2 = 2x
which then you would divide 2 by 2 and get 1
Answer:
40%
Step-by-step explanation:
1+.40=1.4
1.4 x 15 = 21
Answer:
It'll take 38.3 years to obtain the desired return of $25,000.
Step-by-step explanation:
In order to solve a continuosly coumponded interest question we need to apply the correct formula that is given bellow:
M = C*e^(r*t)
Where M is the final value, C is the initial value, r is the interest rate and t is the time at which the money was applied. Since he wants an return of $25,000 his final value must be the sum of the initial value with the desired return. So we have:
(25000 + 8000) = 8000*e^(0.037*t)
33000 = 8000*e^(0.037*t)
e^(0.037*t) = 33000/8000
e^(0.037*t) = 4.125
ln[e^(0.037*t)] = ln(4.125)
t = ln(4.125)/(0.037)
t = 1.4171/0.037 = 38.2991
t = 38.3 years